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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Proving an identity by working on one side only"

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Practice: Deciding whether root 16 is rational or irrational

Act as my SS1 Further Mathematics tutor. Give me five practice questions on deciding wheth

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Final Revision: Approximating a surd to three decimal places

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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat

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Spot My Mistake: Why root 8 and root 2 turn out to be similar

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WAEC Prep: Ordering a list of surds by size

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Explain Back: Multiplying root a by root b

I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let

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Worked Example: Rationalising a denominator that is a single surd

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Practice: Rationalising a denominator with a whole number multiplying the surd

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Learn: The conjugate of a compound surd expression

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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Spot My Mistake: Simplifying the denominator once the conjugate has been used

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Spot My Mistake: Solving a surd equation that leads to a quadratic

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Learn: What a binary operation actually is

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Worked Example: Reading the symbol used for a binary operation

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Practice: A binary operation set out as a table

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Spot My Mistake: A binary operation defined on a set of three elements

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Final Revision: Deciding whether a given rule really is a binary operation

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Worked Example: Testing the even numbers for closure under addition

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Quiz: Testing the odd numbers for closure under addition

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Practice: Testing a set for closure under multiplication

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